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Finding the Fourth Proportional to 116,506.32, 160,776.45 and 65,519.70

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Solution

The fourth proportional to 116,506.32, 160,776.45 and 65,519.70 is: 90,415.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,506.32 : 160,776.45 = 65,519.70 : x
  2. Step 2: Convert to fraction form
    116,506.32/160,776.45 = 65,519.70/x
  3. Step 3: Cross multiply
    116,506.32x = 160,776.45 × 65,519.70
  4. Step 4: Simplify right side
    116,506.32x = 10,534,024,771.07
  5. Step 5: Solve for x
    x = 10,534,024,771.07/116,506.32
  6. Step 6: Final answer
    x = 90,415.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.